In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
Question types
Symmetry (Including Reflection and Rotation) question types
60 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
60
Questions
5
Question groups
5
Question types
01
[1 Mark Question Answer]
34 Q→02[2 Mark Question Answer]
12 Q→03[3 marks sum]
8 Q→04[4 marks sum]
4 Q→05[5 marks sum]
2 Q→Sample Questions
Symmetry (Including Reflection and Rotation) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:
Each of the points A (0, 7), B (8, 0), C (0, − 5), D (− 7, 0) and E (0, 0) are reflected in origin to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
Each of the points A (0, 4), B (0, 10), C (0, – 4), D (0, – 6) and E (0, 0) is reflected in y-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
In the given figure, find the image of the line segment $A B$ in the line PQ
View full solution →Mark points A (– 6, 5) and B (– 4, – 6) on a graph paper. Find A’, the image of A in origin and B’, the image of B in origin. Mark A’ and B’ also on the same graph paper. Join AB and A’ B’. Is AB = A’ B’?
In the given figure, find the image of the point $P$ in the line $A B$ :
View full solution →Each of the points A (3, 0), B (7, 0), C (- 8, 0), D (- 7, 0) and E (0, 0) is reflected in x-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.
The point P (3, – 8) is reflected in origin to point Q. The Point Q is further reflected in the x-axis to point R. Find :
(i) the co-ordinates of Q
(ii) the co-ordinates of R
(iii) the image of P (3, – 8) in the y-axis.
(i) the co-ordinates of Q
(ii) the co-ordinates of R
(iii) the image of P (3, – 8) in the y-axis.
A point A (- 5, 4) is reflected in y-axis to point B. The point B is further reflected in origin to point C. find :
(i) the co-ordinates of B
(ii) the co-ordinates of C
(iii) the image of A (- 5, 4) in x-axis.
(i) the co-ordinates of B
(ii) the co-ordinates of C
(iii) the image of A (- 5, 4) in x-axis.
A point P (7,3) is reflected in the x-axis to point P’. The point P’ is further reflected in v-axis to point P” Find :
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.
In the given figure, find the image of the line segment $A B$ in the line PQ:
View full solution →Construct a triangle ABC in which AB = AC = 5 cm and BC = 5.6 cm. If possible, draw its lines of symmetry.
Construct an equilateral triangle with each side 6 cm. In the triangle drawn, draw all the possible lines of symmetry.
Complete the following table:
| Point | Reflection in | ||
| x-axis | y-axis | origin | |
| (i) (8, 2) | |||
| (ii) (5, 6) | |||
| (iii) (4, −5) | |||
| (iv) (6, −2) | |||
| (v) (−3, 7) | |||
| (vi) (−4, 5) | |||
| (vii) (−2, −7) | |||
| (viii) (−6, −3) | |||
| (ix) (4, 0) | |||
| (x) (−7, 0) | |||
| (xi) (0, −6) | |||
| (xii) (0, 7) | |||
| (xiii) (0, 0) | |||
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
Complete the following table:
| Point | Reflection in | ||
| x-axis | y-axis | origin | |
| (i) (8, 2) | |||
| (ii) (5, 6) | |||
| (iii) (4, −5) | |||
| (iv) (6, −2) | |||
| (v) (−3, 7) | |||
| (vi) (−4, 5) | |||
| (vii) (−2, −7) | |||
| (viii) (−6, −3) | |||
| (ix) (4, 0) | |||
| (x) (−7, 0) | |||
| (xi) (0, −6) | |||
| (xii) (0, 7) | |||
| (xiii) (0, 0) | |||
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
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